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marshall27 [118]
3 years ago
8

If there are 2,000 females and 2,000 males enrolled at a college and four different students are randomly selected to receive a

book scholarship, what is the probability that at least one is female?
Calculate the probability two ways: a) treat as dependent selections and b) treat as independent selections.
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0

Answer:

500

Step-by-step explanation:

you just divide 2000 by 4 and get 500

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6th grade help please math
givi [52]
1) 12 cookies per hour
2) train travels 80 miles per hour
4 0
3 years ago
Read 2 more answers
2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
Geometry help please! Match the reasons with the statements.
SSSSS [86.1K]

Given:

∠PRS and ∠VUW are supplementary.

To prove:

Line TV || Line QS

Solution:

Step 1: Given

∠PRS and ∠VUW are supplementary.

Step 2: By the definition of supplementary angles

m\angle {PRS}+m\angle {VUW}=180^{\circ}

Step 3: Angles forming a linear pair sum to 180°

m\angle {PRS}+m\angle {SRU}=180^{\circ}

Step 4: By transitive property of equality

step 2 = step 3

m\angle {PRS}+m\angle {VUW}=m\angle {PRS}+m\angle {SRU}

Step 5: By algebra cancel the common terms in both side.

{m} \angle {VUW}={m} \angle{SRU}

Step 6: By converse of corresponding angles postulate

Line TV || Line QS

Hence proved.

6 0
3 years ago
How do you solve 18 - (-2)=
salantis [7]

Answer:

the answer would be 20

Step-by-step explanation:

so if 18-(-2)=?

two nwgatives make a positive. So the equation would turn into 18+2=20

Im not 100% if this is right but htis is how I was taught to do it.

3 0
2 years ago
Principal = 5300=5300 rupees
PSYCHO15rus [73]

Answer:

Using the formula:

A=P+I

where

A is the total amount

P is the principal

I is the Simple Interest

As per the statement:

Principal(P) = 5300 rupees.

rate of interest(r) = 6.5% = 0.065

Total amount(A) = 6678 rupees.

Then using above formula we have;

6678 = 5300+I

Subtract 5300 both sides we get;

1378 = I

or

I = \$1378

We have to find the time period.

Using formula of Simple interest:

I = Prt

where r is the rate of interest (in decimal)

here, r = 6.5% = 0.065

Substitute the given values top find t:

1378 = 5300 \cdot 0.065 \cdot t

⇒1378 = 344.5t

Divide both sides by 344.5 we have;

4  = t

Therefore, the time period t in years is 4 years

8 0
3 years ago
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